Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (2): 304-312.

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A Blow-up Result for a Higher-Order Damped Hyperbolic System with Nonlinear Memory Terms

Liu Dengming1, Zeng Xianzhong1, Mu Chunlai2   

  1. 1. School of Mathematics and Computational Science, Hunan University of Science and Technology, Hunan Xiangtan 411201;
    2. College of Mathematics and Statistics, Chongqing University, Chongqing 401331
  • Received:2017-02-06 Revised:2017-09-05 Online:2018-04-26 Published:2018-04-26
  • Supported by:
    Supported by the NSFC (11701169) and the Scientific Research Fund of Hunan Provincial Education Department (16A071)

Abstract: In this paper, we deal with the Cauchy problem for a higher-order damped hyperbolic system with nonlinear memory terms. By the test function method, we obtain a blow-up result of the weak solution.

Key words: Higher-order damped hyperbolic system, Nonlinear memory terms, Blow-up

CLC Number: 

  • O175.4
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